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1561613040 = 2433513192927
BaseRepresentation
bin101110100010100…
…0101001011110000
311000211110011101000
41131011011023300
511144233104130
6414542442000
753461330461
oct13505051360
94024404330
101561613040
11731542a99
12376b93300
131bb6b54b0
1410b580d68
159216a260
hex5d1452f0

1561613040 has 320 divisors, whose sum is σ = 6099609600. Its totient is φ = 364041216.

The previous prime is 1561612951. The next prime is 1561613051. The reversal of 1561613040 is 403161651.

1561613040 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 613 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1561612995 and 1561613013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532057 + ... + 534983.

It is an arithmetic number, because the mean of its divisors is an integer number (19061280).

Almost surely, 21561613040 is an apocalyptic number.

1561613040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049804800).

1561613040 is an abundant number, since it is smaller than the sum of its proper divisors (4537996560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1561613040 is a wasteful number, since it uses less digits than its factorization.

1561613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1561613040 is about 39517.2499043139. The cubic root of 1561613040 is about 1160.1775986501.

Adding to 1561613040 its reverse (403161651), we get a palindrome (1964774691).

It can be divided in two parts, 156161 and 3040, that added together give a square (159201 = 3992).

The spelling of 1561613040 in words is "one billion, five hundred sixty-one million, six hundred thirteen thousand, forty".